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Finding the Third Proportional to 165,619.69 and 256,926.94

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Solution

The third proportional to 165,619.69 and 256,926.94 is: 398,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,619.69 : 256,926.94 = 256,926.94 : x
  2. Step 2: Convert to fraction form
    165,619.69/256,926.94 = 256,926.94/x
  3. Step 3: Cross multiply
    165,619.69x = 256,926.94 × 256,926.94
  4. Step 4: Simplify right side
    165,619.69x = 66,011,451,213.13
  5. Step 5: Solve for x
    x = 66,011,451,213.13/165,619.69
  6. Step 6: Final answer
    x = 398,572.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.